r(t) = (3√2t, e³t, e-3t) (a) Find the unit tangent and unit normal vectors T(t) and N(t). 3√2e³x + 3x +3 6x e³ T(t) = N(t) = X (b) Use this formula to find the curvature. x(t)
r(t) = (3√2t, e³t, e-3t) (a) Find the unit tangent and unit normal vectors T(t) and N(t). 3√2e³x + 3x +3 6x e³ T(t) = N(t) = X (b) Use this formula to find the curvature. x(t)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the following vector function.
r(t) = (3√2t, e³t, e-3t)
(a) Find the unit tangent and unit normal vectors T(t) and N(t).
T(t) =
N(t) =
3√2e³x+3x+3
e³
X
(b) Use this formula to find the curvature.
k(t) = =
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